Question
Factor polynomial $$ 4v^{3}-12v^{2}-5v+15 $$
Answer
$$ 4v^{3}-12v^{2}-5v+15 = ( 4v^{2}-5 )( v-3 ) $$
Explanation
To factor $ 4v^{3}-12v^{2}-5v+15 $ we can use factoring by grouping:
Group $ \color{blue}{ 4x^{3} }$ with $ \color{blue}{ -12x^{2} }$ and $ \color{red}{ -5x }$ with $ \color{red}{ 15 }$ then factor each group.
$$ \begin{aligned} 4v^{3}-12v^{2}-5v+15 = ( \color{blue}{ 4x^{3}-12x^{2} } ) + ( \color{red}{ -5x+15 }) &= \\ &= \color{blue}{ 4x^{2}( x-3 )} + \color{red}{ -5( x-3 ) } = \\ &= (4x^{2}-5)(x-3) \end{aligned} $$This page was created using
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